Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Models of low-speed flow for near-critical fluids with gravitational and capillary effects


Authors: D. L. Denny and R. L. Pego
Journal: Quart. Appl. Math. 58 (2000), 103-125
MSC: Primary 76N10; Secondary 35Q35, 76D45
DOI: https://doi.org/10.1090/qam/1738560
MathSciNet review: MR1738560
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Abstract: We study low-speed flows of a highly compressible, single-phase fluid in the presence of gravity, for example, in a regime appropriate for modeling recent space-shuttle experiments on fluids near the liquid-vapor critical point. In the equations of motion, we include forces due to capillary stresses that arise from a contribution made by strong density gradients to the free energy. We derive formally simplified sets of equations in a low-speed limit analogous to the zero Mach number limit in combustion theory.


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DOI: https://doi.org/10.1090/qam/1738560
Article copyright: © Copyright 2000 American Mathematical Society


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